messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, -1, 0],\n [1, -2, 2, 2],\n [-1, 2, 0, -1],\n [0, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -99 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 1, -4, -4],\n [1, -2, 0, -3],\n [-3, -1, -1, -2],\n [1, -3, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4109 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 2, 0, -2],\n [2, 1, 3, 2],\n [0, 3, -2, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -310 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, 0],\n [-2, -1, 0, 0],\n [2, 0, -4, 0],\n [0, 0, 0, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, -2, 0],\n [4, 2, 0, 1],\n [-2, 0, 1, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -123 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 2, -2],\n [-1, -2, 0, 1],\n [2, 0, -2, 0],\n [-2, 1, 0, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 50 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 2, -2],\n [-4, 1, 2, 1],\n [2, 2, 3, 2],\n [-2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9118 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -4, 3],\n [1, 3, -2, -4],\n [-4, 2, 3, -3],\n [-1, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1883 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 2, 2],\n [0, 2, 3, 0],\n [2, 3, 1, -2],\n [2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 531 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, -1, -1],\n [2, -4, -2, 1],\n [-1, -2, -2, 0],\n [-1, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -145 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, -2, 2, 1],\n [-2, 2, 2, 1],\n [2, 2, -2, -4],\n [1, 1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 48 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, 0, 1, 2],\n [4, -2, 3, 3],\n [1, -4, 1, 1],\n [-1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, -2, 0],\n [0, 4, -3, -2],\n [-2, -4, -3, -3],\n [4, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 863 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 1, 0],\n [-2, -1, 1, 3],\n [2, 1, 3, -4],\n [1, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3217 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -3, 3],\n [-1, 2, 3, -4],\n [4, 2, 0, -4],\n [4, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2253 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 1, -1],\n [4, 2, 2, -3],\n [-3, -2, 3, -4],\n [2, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1598 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0, 2],\n [2, 3, -2, -2],\n [0, -2, 4, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 721 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -3, 2],\n [2, -4, 0, 0],\n [-3, 0, -2, 0],\n [2, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 884 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -1, 4, 3],\n [2, 2, 1, 0],\n [-1, 0, 2, 4],\n [-4, 2, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 898 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -1, 1],\n [-4, -3, -3, 3],\n [-4, -3, 0, -3],\n [-3, -1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1283 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -3, 1, -1],\n [4, -2, 1, 4],\n [-4, 2, 0, 4],\n [2, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1278 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-4, 0, 0, -3],\n [0, -2, 0, -2],\n [0, 0, 1, 2],\n [-3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -72 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, -2, -2],\n [-3, 4, 0, -4],\n [-2, 0, 4, 1],\n [-2, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2347 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -1, 2, 3],\n [3, -4, 3, -4],\n [-1, 0, -2, -2],\n [-4, 4, -2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 190 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 4, 2],\n [3, -3, 2, 3],\n [3, 0, -4, 0],\n [1, -4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -453 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 0, -1],\n [-2, 3, 0, -2],\n [0, 0, 0, -2],\n [-1, -2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1422 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0, -2],\n [-2, -4, -2, -1],\n [0, -2, 0, 1],\n [-2, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -637 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, -4, -3],\n [-2, 1, -4, 3],\n [2, 3, -1, 1],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2359 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -3, 3, 4],\n [-1, 4, -1, -3],\n [-3, 1, 4, 0],\n [3, -4, -3, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1949 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, -4],\n [4, 2, 2, -1],\n [3, 1, -2, -2],\n [-1, -3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7198 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, -1, 0],\n [2, 4, 3, -2],\n [-1, 3, 0, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4885 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 3],\n [-3, -2, 4, 0],\n [0, -4, -4, -1],\n [-2, -2, 1, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -61 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -2, -1],\n [2, 1, -4, 2],\n [-2, -4, 3, 0],\n [-1, 2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10639 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -2, 0],\n [1, 2, -2, -2],\n [-2, -2, 1, 2],\n [0, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 728 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, -4, 2],\n [-1, -1, -1, 3],\n [2, 0, -1, -1],\n [0, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, 3, 3, -1],\n [0, 2, 3, 4],\n [-1, -4, 2, 0],\n [3, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 114 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-3, -2, 2, 2],\n [-2, 3, -1, 1],\n [2, -1, -2, 0],\n [2, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -117 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 2, 2],\n [2, 0, -2, 0],\n [2, -2, -4, -2],\n [2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1968 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, 2, 2],\n [-4, 3, -2, 0],\n [2, -2, 3, 2],\n [2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2508 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, 1],\n [0, 4, -3, 0],\n [0, -3, 2, 2],\n [1, 0, 2, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -4, -1, -4],\n [-1, 0, -3, 1],\n [-4, -4, 4, 3],\n [-1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -298 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 4],\n [-4, 1, 1, 1],\n [-4, -3, -1, 2],\n [0, 3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -128 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -3, 4],\n [0, -2, 4, 1],\n [0, 4, -1, -3],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 858 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 3, 1],\n [0, 0, 0, 1],\n [2, 3, 3, 1],\n [-3, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 334 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, -2, 2],\n [1, 1, -4, -2],\n [3, 1, 1, 2],\n [1, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 513 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 2, -2],\n [0, 1, 2, 1],\n [2, 2, -2, 1],\n [-2, 1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1165 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, 0, 3],\n [3, -2, 0, 0],\n [0, 0, 2, -1],\n [3, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 554 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 2, 1],\n [-1, 3, 2, -2],\n [2, 2, 4, -2],\n [1, -2, -2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[3, -4, -4, 1],\n [2, 4, 2, 3],\n [2, -3, -2, 4],\n [-4, 3, -3, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 112 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 2, 2, 2],\n [0, 2, -3, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 83 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, -3, -2, -3],\n [-3, -3, 2, -4],\n [-2, -3, -2, 4],\n [-2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[1, -4, -4, 3],\n [4, 3, -2, -1],\n [3, -2, 3, 2],\n [3, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 56 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -4, 2],\n [-3, -3, 2, 4],\n [4, 1, -3, -3],\n [3, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 89 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -4, -1],\n [-4, 3, 0, -2],\n [-1, 2, -4, 0],\n [-3, -2, -1, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -188 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-3, 0, -3, 2],\n [-1, -1, 1, 2],\n [-2, 2, 2, -3],\n [-4, 0, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -102 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, 2],\n [-4, 3, 1, 2],\n [1, -2, 2, -3],\n [-1, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -160 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, 2, 2, 0],\n [2, -2, 3, -1],\n [2, 3, -3, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -163 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0, 1],\n [4, 1, -1, 3],\n [2, 4, -4, 4],\n [3, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 706 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[4, 0, -2, -1],\n [0, 2, -2, -2],\n [-2, -2, 2, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -48 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -1, -2, -4],\n [-1, 0, -2, -1],\n [-2, -2, 1, 2],\n [-4, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1126 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, -3, 4, -4],\n [-1, 2, 0, -3],\n [4, -2, -3, 2],\n [-3, 3, -3, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 0, -2, -3],\n [0, -2, 2, 1],\n [-2, 2, -3, -2],\n [-3, 1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4954 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -4],\n [-1, -2, 0, 2],\n [1, 0, 3, -2],\n [-4, 2, -2, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 258 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, -1, 0, 1],\n [-1, 2, 0, -3],\n [0, 0, 3, 0],\n [1, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-4, 2, 0, 3],\n [2, 3, -2, 2],\n [0, -2, -1, 0],\n [3, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 2],\n [0, 3, 3, 4],\n [0, 3, -3, -1],\n [2, 4, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11430 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, -2, 1],\n [4, 2, 1, 0],\n [-1, -3, -4, -3],\n [3, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4524 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, 2],\n [2, 3, 2, 2],\n [0, 2, -1, -2],\n [2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 883 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 1, -4],\n [4, -4, 3, -1],\n [1, 4, -4, -1],\n [-3, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14035 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 1, -1],\n [-4, -2, -1, 3],\n [0, -2, -2, -3],\n [2, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 468 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 2],\n [0, 2, 0, 0],\n [4, 0, 2, -1],\n [2, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 715 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, -1, -1],\n [0, -2, -4, 0],\n [3, -3, 3, -4],\n [3, 4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7317 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2, -3],\n [0, 1, -1, -2],\n [1, -2, 4, 4],\n [2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2422 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-1, 0, 3, -4],\n [0, 1, 0, 1],\n [3, 0, 0, -3],\n [-4, 1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -620 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, -2, -2, 0],\n [-2, 3, 3, 2],\n [-2, 3, 1, 0],\n [0, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 78 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -4, 1],\n [2, 1, 1, 0],\n [-4, 1, -4, 2],\n [1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1294 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 0],\n [0, -1, -2, 0],\n [0, -2, 2, 0],\n [0, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 421 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2, -2],\n [-2, 3, -2, 0],\n [-2, -2, -2, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 562 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 1, 2],\n [-4, -2, 4, 3],\n [-4, 2, 0, -3],\n [-1, 4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8930 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[2, 3, 1, -1],\n [4, -4, -3, -1],\n [2, 1, 0, -1],\n [1, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -5 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 3, -4, -2],\n [0, 0, 0, -2],\n [1, 1, 1, -4],\n [0, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 343 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 3, -3],\n [-3, -4, -4, -3],\n [0, 2, 4, 1],\n [-4, 2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 441 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, -4],\n [2, 2, 0, 4],\n [4, -3, -2, -4],\n [-2, -4, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 680 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[0, -3, -2, 0],\n [-3, -2, 0, 0],\n [-2, 0, -3, -3],\n [0, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -18 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, 0, 2],\n [-3, -2, 2, 0],\n [0, 2, 0, 1],\n [2, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 535 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 2, 2],\n [-2, 3, 0, 0],\n [2, 0, 0, -2],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4493 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[1, 1, -2, 0],\n [1, 0, 0, 2],\n [-2, 0, 2, 0],\n [0, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 2, 0, 0],\n [2, 3, 2, 0],\n [0, 2, 2, -2],\n [0, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -8 | MATH |
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 1, 0],\n [-2, 4, 0, 2],\n [1, 0, 0, 3],\n [0, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 324 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -3, 1, -3],\n [-1, -2, 1, 1],\n [-3, 4, 3, -4],\n [3, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -450 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, -2, 2],\n [-2, 0, 2, 2],\n [-2, 2, -2, -3],\n [2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1749 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 3, -4, -2],\n [1, -2, 1, -4],\n [3, 4, -4, -3],\n [-2, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -111 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2, -4],\n [0, -3, 0, -3],\n [2, 0, 0, 2],\n [-4, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1061 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[1, 4, -2, 4],\n [-4, -2, 1, -3],\n [3, -2, -2, -1],\n [0, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 405 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -2, -4],\n [2, -2, 0, 0],\n [-2, 0, 3, -1],\n [-4, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13657 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 1, 1],\n [3, 3, -2, 2],\n [2, 3, 1, -4],\n [-1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 899 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 4],\n [3, 0, 1, -3],\n [-2, 1, 2, 4],\n [-4, 3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1058 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 1],\n [0, -4, -1, 0],\n [2, -1, -3, -2],\n [1, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2147 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 4, 3],\n [-4, -2, -3, 2],\n [-2, -3, -2, -2],\n [3, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 725 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-1, -1, -1, 2],\n [3, 4, -3, 1],\n [-2, -1, 4, -2],\n [-3, 1, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 86 | MATH |
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